Details

analyze1.0s (7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	62.4%	12.6%	5
25%	56.2%	18.8%	6
28.1%	46.8%	25.1%	7
28.1%	43.7%	28.2%	8
29.7%	34.3%	36%	9
29.7%	31.6%	38.7%	10
31.1%	25.8%	43.1%	11
31.1%	24.6%	44.3%	12
31.5%	21.9%	46.6%	13
31.5%	21%	47.5%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample8.6s (58.9%)

Results

2.4s	2857×	body	1024	valid
2.0s	1754×	body	1024	invalid
1.6s	1740×	body	2048	valid
711.0ms	954×	body	512	invalid
697.0ms	1234×	body	512	valid
420.0ms	1840×	body	128	valid
216.0ms	585×	body	256	valid
200.0ms	508×	body	256	invalid
199.0ms	1115×	body	128	invalid
15.0ms	10×	body	2048	invalid

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

436×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
359×	`sub-neg_binary64`
289×	`unsub-neg_binary64`
253×	`distribute-rgt-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	41	19
3	102	19
4	248	19
5	790	19
6	2110	19
7	4405	19
8	5048	19

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

33.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	33.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓	0.0b	(pow.f64 x (/.f64 1 n))
✓	1.8b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series74.0ms (0.5%)

Counts

3 → 72

Calls

3 calls:

34.0ms	(pow.f64 x (/.f64 1 n))
28.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
12.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
76×	`unpow-prod-down_binary64`
65×	`add-sqr-sqrt_binary64`
56×	`prod-diff_binary64`
53×	`add-cube-cbrt_binary64`

Counts

3 → 155

Calls

3 calls:

9.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
4.0ms	(pow.f64 x (/.f64 1 n))
4.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

simplify178.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

580×	`cancel-sign-sub-inv_binary64`
422×	`fma-neg_binary64`
284×	`sub-neg_binary64`
202×	`fma-def_binary64`
194×	`+-commutative_binary64`

Counts

227 → 269

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	9108
1	964	7526
2	3311	5432
3	4914	5432
4	4974	5432

prune330.0ms (2.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	263	6	269
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	264	6	270

Error

0.6b

Counts

270 → 6

Alt Table

Status	Error	Program
	33.0b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	38.2b	(-.f64 (fma.f64 11/24 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (.f64 n n) (pow.f64 x 4))) (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 x n)) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/24 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (fma.f64 1/3 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 n (pow.f64 x 3))) (.f64 1/6 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))))))))) (fma.f64 1/4 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 n 3) (pow.f64 x 4))) (fma.f64 1/2 (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 x (.f64 x n))) (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 n (.f64 n (pow.f64 x 3))))) (.f64 1/4 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (*.f64 n (pow.f64 x 4)))))))
	45.6b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))
	26.3b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n))))
	28.4b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
▶	18.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

Compiler

Compiled 10004 to 6741 computations (32.6% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓	2.0b	(-.f64 (log1p.f64 x) (log.f64 x))

series376.0ms (2.6%)

Counts

2 → 36

Calls

2 calls:

373.0ms	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
3.0ms	(-.f64 (log1p.f64 x) (log.f64 x))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
33×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
12×	`prod-diff_binary64`

Counts

2 → 83

Calls

2 calls:

5.0ms	(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
4.0ms	(-.f64 (log1p.f64 x) (log.f64 x))

simplify124.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-neg_binary64`
399×	`fma-def_binary64`
386×	`associate-l_binary64`
296×	`associate-r_binary64`
171×	`associate-/l*_binary64`

Counts

119 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	2225
1	426	1862
2	1217	1802
3	4071	1801
4	4962	1801
5	4971	1801
6	4934	1801

prune117.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	110	8	118
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	111	13	124

Error

0.1b

Counts

124 → 13

Alt Table

Status	Error	Program
	18.4b	(.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 (cbrt.f64 n) (cbrt.f64 n))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)))
	45.6b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))
	28.4b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	18.2b	(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
	18.3b	(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
▶	18.1b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	33.0b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	38.2b	(-.f64 (fma.f64 11/24 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (.f64 n n) (pow.f64 x 4))) (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 x n)) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/24 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (fma.f64 1/3 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 n (pow.f64 x 3))) (.f64 1/6 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))))))))) (fma.f64 1/4 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 n 3) (pow.f64 x 4))) (fma.f64 1/2 (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 x (.f64 x n))) (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 n (.f64 n (pow.f64 x 3))))) (.f64 1/4 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (*.f64 n (pow.f64 x 4)))))))
	18.4b	(.f64 (/.f64 1 (.f64 (cbrt.f64 n) (cbrt.f64 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
	18.2b	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	42.0b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) n)
	26.3b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n))))
	18.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))

Compiler

Compiled 2750 to 1088 computations (60.4% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
✓	0.1b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	2.0b	(-.f64 (log1p.f64 x) (log.f64 x))

series849.0ms (5.8%)

Counts

2 → 48

Calls

2 calls:

471.0ms	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
378.0ms	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64`
126×	`*-un-lft-identity_binary64`
110×	`add-sqr-sqrt_binary64`
78×	`add-cube-cbrt_binary64`
32×	`distribute-lft-out--_binary64`

Counts

2 → 165

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
4.0ms	(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))

simplify144.0ms (1%)

Algorithm

1×	egg-herbie

Rules

395×	`times-frac_binary64`
339×	`associate-/l*_binary64`
331×	`fma-neg_binary64`
326×	`associate-/r*_binary64`
324×	`fma-def_binary64`

Counts

213 → 211

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	4642
1	488	4291
2	1445	4175
3	4353	4175
4	4992	4175

prune369.0ms (2.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	264	3	267
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	264	16	280

Error

0.1b

Counts

280 → 16

Alt Table

Status	Error	Program
	18.2b	(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
	33.0b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	42.0b	(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) n)
	39.0b	(/.f64 1 (*.f64 n (+.f64 x 1/2)))
	18.4b	(.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (.f64 (cbrt.f64 n) (cbrt.f64 n))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)))
	45.6b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))
	28.4b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
▶	18.2b	(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
	18.3b	(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
✓	18.1b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	38.2b	(-.f64 (fma.f64 11/24 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (.f64 n n) (pow.f64 x 4))) (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 x n)) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/24 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (fma.f64 1/3 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 n (pow.f64 x 3))) (.f64 1/6 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))))))))) (fma.f64 1/4 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 n 3) (pow.f64 x 4))) (fma.f64 1/2 (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 x (.f64 x n))) (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 n (.f64 n (pow.f64 x 3))))) (.f64 1/4 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (*.f64 n (pow.f64 x 4)))))))
	18.4b	(.f64 (/.f64 1 (.f64 (cbrt.f64 n) (cbrt.f64 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
	18.2b	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	40.9b	(/.f64 1 (fma.f64 n 1/2 (fma.f64 x n (*.f64 (/.f64 n x) (-.f64 (/.f64 1/24 x) 1/12)))))
	26.3b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n))))
	18.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))

Compiler

Compiled 6121 to 2290 computations (62.6% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
	2.0b	(-.f64 (log1p.f64 x) (log.f64 x))

series383.0ms (2.6%)

Counts

1 → 24

Calls

1 calls:

383.0ms

(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64`
11×	`times-frac_binary64`
10×	`add-exp-log_binary64`

Counts

1 → 45

Calls

1 calls:

8.0ms

(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
436×	`times-frac_binary64`
422×	`fma-neg_binary64`
209×	`distribute-rgt-neg-out_binary64`
208×	`associate-l_binary64`

Counts

69 → 83

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	125	1178
1	302	1086
2	838	1086
3	2198	1086
4	4900	1086
5	5110	1086

prune140.0ms (1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	2	12	14
Picked	1	0	1
Done	0	1	1
Total	140	15	155

Error

0.1b

Counts

155 → 15

Alt Table

Status	Error	Program
	18.2b	(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))
	33.0b	(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
	18.2b	(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) (/.f64 1 n))
	40.9b	(/.f64 1 (fma.f64 n 1/2 (fma.f64 x n (*.f64 (/.f64 n x) (-.f64 (/.f64 1/24 x) 1/12)))))
	26.3b	(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)) (/.f64 (log.f64 x) n))))
	42.0b	(.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x))) (/.f64 1 n))
	18.3b	(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
✓	18.1b	(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
	38.2b	(-.f64 (fma.f64 11/24 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (.f64 n n) (pow.f64 x 4))) (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 x n)) (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (.f64 x x) (.f64 n n))) (fma.f64 1/24 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 x 4) (pow.f64 n 4))) (fma.f64 1/3 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 n (pow.f64 x 3))) (.f64 1/6 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 x 3) (pow.f64 n 3))))))))) (fma.f64 1/4 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 (pow.f64 n 3) (pow.f64 x 4))) (fma.f64 1/2 (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 x (.f64 x n))) (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (.f64 n (.f64 n (pow.f64 x 3))))) (.f64 1/4 (/.f64 (exp.f64 (/.f64 (+.f64 0 (log.f64 x)) n)) (*.f64 n (pow.f64 x 4)))))))
	18.4b	(.f64 (/.f64 1 (.f64 (cbrt.f64 n) (cbrt.f64 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
	18.2b	(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
	39.0b	(/.f64 1 (*.f64 n (+.f64 x 1/2)))
	45.6b	(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))
	28.4b	(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
	18.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))

Compiler

Compiled 2847 to 1204 computations (57.7% saved)

regimes1.2s (8.3%)

Accuracy

Total 7.8b remaining (98.4%)

Threshold costs 0b (0%)

Counts

156 → 3

Compiler

Compiled 14883 to 9684 computations (34.9% saved)

bsearch172.0ms (1.2%)

Steps

Iters	Range		Point
9	2758.8744152304444	251352552.039023	95875.6746204785
5	1.1100801814668541e-286	2.885204130237698e-286	2.0394736518688587e-286

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	111
1	47	111
2	54	111
3	58	111
4	60	111
5	59	111

end269.0ms (1.8%)

Compiler: Compiled 563 to 341 computations (39.4% saved)

Details

analyze1.0s (7%)

sample8.6s (58.9%)

simplify51.0ms (0.3%)

prune2.0ms (0%)

localize7.0ms (0%)

series74.0ms (0.5%)

rewrite30.0ms (0.2%)

simplify178.0ms (1.2%)

prune330.0ms (2.3%)

localize6.0ms (0%)

series376.0ms (2.6%)

rewrite15.0ms (0.1%)

simplify124.0ms (0.9%)

prune117.0ms (0.8%)

localize7.0ms (0%)

series849.0ms (5.8%)

rewrite28.0ms (0.2%)

simplify144.0ms (1%)

prune369.0ms (2.5%)

localize7.0ms (0%)

series383.0ms (2.6%)

rewrite11.0ms (0.1%)

simplify77.0ms (0.5%)

prune140.0ms (1%)

regimes1.2s (8.3%)

bsearch172.0ms (1.2%)

simplify5.0ms (0%)

end269.0ms (1.8%)

Profiling